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Finding the Fourth Proportional to 478.05, 658.35 and 411.15

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Solution

The fourth proportional to 478.05, 658.35 and 411.15 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.05 : 658.35 = 411.15 : x
  2. Step 2: Convert to fraction form
    478.05/658.35 = 411.15/x
  3. Step 3: Cross multiply
    478.05x = 658.35 × 411.15
  4. Step 4: Simplify right side
    478.05x = 270,680.60
  5. Step 5: Solve for x
    x = 270,680.60/478.05
  6. Step 6: Final answer
    x = 566.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.